P.V. Rao, University of Florida
A Proportional Hazards Model with Informative Censoring
A proportional hazards model is proposed for incorporating informatively
as well as randomly censored times to two types of events -- a primary
event and a followup event. The proposed model treats informative censoring
as a type of risk in a competing risks setup and incorporates suitable
parameters to describe the conditional probability of failure given the
subject is not informatively censored. Inferences about the parameters
in the model can be based on standard partial likelihood theory. The use
of the model will be demonstrated by anlyzing some data on waiting time
to bone marrow transplantation (primary event) and time to relapse or death
after transplantation (followup event) for leukemia patients.